# Radial Limits Determine Prescribed Mean Curvature Surfaces

**Authors:** Julie N. Crenshaw, Alexandra K. Echart, Kirk E. Lancaster

arXiv: 1702.00456 · 2017-08-08

## TL;DR

This paper establishes that the radial limits of a prescribed mean curvature surface uniquely determine the entire surface, highlighting the importance of boundary behavior in geometric analysis.

## Contribution

It proves that radial limits are sufficient to uniquely identify prescribed mean curvature surfaces, a novel result in geometric analysis.

## Key findings

- Radial limits uniquely determine the surface
- Boundary behavior influences surface characterization
- New uniqueness theorem for prescribed mean curvature surfaces

## Abstract

The radial limits of a nonparametric prescribed mean curvature surface uniquely determine the surface.

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Source: https://tomesphere.com/paper/1702.00456